On the Resolvent of the Laplace-Beltrami Operator in Hyperbolic Space
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Abstract
In this paper, a detailed description of the resolvent of the Laplace-Beltrami operator in n-dimensional hyperbolic space is given. The resolvent is an integral operator with the kernel (Green's function) being a solution of a hypergeometric differential equation. Asymptotic analysis of the solution of this equation is carried out.
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Keywords
hyperbolic space, Laplace-Beltrami operator, Green's function, resolvent, hyperbolic space, PDEs on manifolds, Laplace-Beltrami operator, Spectral problems; spectral geometry; scattering theory on manifolds, General topics in linear spectral theory for PDEs, resolvent, Spectrum, resolvent, Green's function
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0301 basic medicine, 0303 health sciences, 03 medical and health sciences
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99
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2
Start Page
186
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206
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checked on Jun 28, 2026
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